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Finding the Third Proportional to 386,727 and 837,975

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Solution

The third proportional to 386,727 and 837,975 is: 1,815,756.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,727 : 837,975 = 837,975 : x
  2. Step 2: Convert to fraction form
    386,727/837,975 = 837,975/x
  3. Step 3: Cross multiply
    386,727x = 837,975 × 837,975
  4. Step 4: Simplify right side
    386,727x = 702,202,100,625
  5. Step 5: Solve for x
    x = 702,202,100,625/386,727
  6. Step 6: Final answer
    x = 1,815,756.59

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.